We have studied the effects of disorder in a series of Sn films quench-condensed onto cryogenically cooled substrates. We find a simple scaling of the conductivity with film thickness Σ ~ (d - d c )Ν, with Ν ≅ 0.85, and a metal-insulator transition near d c ≅ 40–50 ». The superconducting transition temperatures depend linearly on 1/d, provided d is not too small, and the films exhibit strong annealing effects. These features are explained using a model in which grain boundary scattering dominates intragrain scattering.
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References
P. W. Anderson, Phys. Rev. 109, 1492 (1958).
E. Abrahams, P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979); L. Altshuler, A. B. Aronov, and P. A. Lee, Phys. Rev. Lett. 44, 1288 (1980).
G. Bergmann and Y. Bruynseraede, eds., Localization, Interaction, and Transport Phenomena (Spring, New York, 1985); P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985).
W. Buckel and R. Hilsch, Z. Physik 131, 420 (1952); 138, 109 (1954).
A. F. Mayadas and M. Shatzkes, Phys. Rev. B 1, 1382 (1970).
R. C. Dynes, J. P. Garno, and J. M. Rowell, Phys. Rev. Lett. 40, 479 (1978).
G. Deutcher, A. M. Goldman, and H. Mieklitz, Phys. Rev. B 31, 1679 (1985).
G. Deutcher, Physica 109&110B, 1629 (1982).
P. Meakin, Phys. Rev. B 28, 5221 (1983).
P. Ramanlal and L. M. Sander, Phys. Rev. Lett. 54, 1828 (1985).
F. Family and T. Vicsek, J. Phys. A 18, L75 (1985).
M. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. 56, 889 (1986).
R. Messier and J. E. Yehoda, J. Appl. Phys. 58, 3739 (1985).
J. Vancea, G. Reiss, and H. Hoffman, Phys. Rev. B 35, 6435 (1987).
B. I. Belevtsev, Yu, F. Komnik, V. E. Kopina, and L. A. Yatsuk, Fiz. Nizk. Temp. 6, 754 (1980) [Sov. J. Low Temp. Phys. 6, 365 (1980)]; B. I. Belevtsev, V. V. Pilipenko, and L. A. Yatsuk, Fiz. Nizk. Temp. 7, 1010 (1981) [Sov. J. Low Temp. Phys. 7, 490 (1981)].
B. G. Orr, H. M. Jaeger, and A. M. Goldman, Phys. Rev. Lett. 53, 2046 (1984).
G. Bergmann, Z. Physik. 228, 25 (1969).
E. E. Semenenko and V. I. Tutov, Fiz. Nizk. Temp. 11, 364 (1985) [Sov. J. Low Temp. Phys. 11, 197 (1985)].
S. Klaumünzer, G. Ischenko, H. Adrian, and H. Neumüller, J. Low Temp. Phys. 36, 89 (1979).
S. Maekawa and H. Fukuyama, J. Phys. Soc. Japan 51, 1380 (1981); H. Ebisawa, H. Fukuyama, and S. Maekawa, J. Soc. Japan 54, 2257 (1985).
M. Strongin, R. S. Thompson, O. F. Kammerer, and J. E. Crow, Phys. Rev. B 1, 1078 (1970); H. R. Raffy, R. B. Laibowitz, P. Chaudhari, and S. Maekawa, Phys. Rev. B 28, 6607 (1983); A. F. Hebard and M. A. Paalanen, Phys. Rev. B 30, 4063 (1984); J. M. Graybeal and M. R. Beasley, Phys. Rev. B 29, 4167 (1984).
J. M. Ziman, Electrons and Phonons (Oxford, Clarendon Pres, 1960), p. 344.
A. F. Iofi and A. R. Regel, Prog. Semicond. 4, 237 (1960).
W. Götze, J. Phys. C 12, 1279 (1979).
A. Gold and W. Götze, J. Phys. C. 14, 4049 (1981); Phys. Rev. B 33, 2495 (1986).
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Markiewicz, R.S., Shiffman, C.A. & Ho, W. Superconductivity and disorder-driven metal-insulator transition in quench-condensed tin films. J Low Temp Phys 71, 175–191 (1988). https://doi.org/10.1007/BF00118574
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DOI: https://doi.org/10.1007/BF00118574